In the past few decades, with the rapid development of laser cooling and trapping techniques, extraordinary advancements in optical atomic clock accuracy and stability have been demonstrated [1]}, [2]}, [3]}, [4]}, [5]}, [6]}. The high-accuracy optical clocks can be used for performing precision measurements of fundamental physical constants [7]}, [8]}, testing the local Lorentz invariance [9]}, [10]}, exploring variations of fine structure constant \(\alpha \)  with time [11]}, [12]}, probing dark matter and dark energy [13]}, [14]}, detecting gravitational waves [15]}, and detecting new forces beyond the standard model of particle physics [15]}, [14]}.
